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Finding the Third Proportional to 685,383,087 and 1,044,144,649.50

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Solution

The third proportional to 685,383,087 and 1,044,144,649.50 is: 1,590,698,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,383,087 : 1,044,144,649.50 = 1,044,144,649.50 : x
  2. Step 2: Convert to fraction form
    685,383,087/1,044,144,649.50 = 1,044,144,649.50/x
  3. Step 3: Cross multiply
    685,383,087x = 1,044,144,649.50 × 1,044,144,649.50
  4. Step 4: Simplify right side
    685,383,087x = 1,090,238,049,079,477,888
  5. Step 5: Solve for x
    x = 1,090,238,049,079,477,888/685,383,087
  6. Step 6: Final answer
    x = 1,590,698,792.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.